5328227174400 has 2016 divisors, whose sum is σ = 21756138768000. Its totient is φ = 1285645271040.

The previous prime is 5328227174383. The next prime is 5328227174407. The reversal of 5328227174400 is 44717228235.

5328227174400 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 227 + 17 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5328227174407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 38332569531 + ... + 38332569669.

It is an arithmetic number, because the mean of its divisors is an integer number (10791735500).

Almost surely, 2^{5328227174400} is an apocalyptic number.

5328227174400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328227174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878069384000).

5328227174400 is an abundant number, since it is smaller than the sum of its proper divisors (16427911593600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5328227174400 is a wasteful number, since it uses less digits than its factorization.

5328227174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 5328227174400 in words is "five trillion, three hundred twenty-eight billion, two hundred twenty-seven million, one hundred seventy-four thousand, four hundred".